airplane reaches a cruising altitude of 6 miles. The plane needs to fly at exactly 300 miles per hour in the direction of 30 east of north. However, a wind is blowing at 50 miles per hour in the direction of 15 south of east. Orient the Cartesian plane so that the positive x-axis is east and the positive y-axis is north. Determine the speed and direction that the plane should fly in the desired direction and at the desired speed.